en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme ((x-1))/((x+1)^2)

Solution

extreme points

\frac{( x - 1 )}{( x + 1 ) ^{2}}

Solution

Maximum (3, \frac{1}{8})

Solution steps

f^{'} (x) = \frac{- x + 3}{( x + 1 ) ^{3}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 3

into

\frac{x - 1}{( x + 1 ) ^{2}} : \frac{1}{8}

Maximum (3, \frac{1}{8})

Popular Examples

extreme f(x)=9sin(|x|),-2pi<= x<= 2pi extreme points

f (x) = 9 sin (∣ x ∣), - 2 π \leq x \leq 2 π

extreme f(x)=xe^y extreme points

f (x) = x e^{y}

extreme f(x,y)=8x^4+y^2-24xy extreme points

f (x, y) = 8 x^{4} + y^{2} - 24 x y

extreme f(x)=x^3-3x^2-9x-5 extreme points

f (x) = x^{3} - 3 x^{2} - 9 x - 5

extreme ln(x+3)-1 extreme points

ln (x + 3) - 1

Frequently Asked Questions (FAQ)

What is the extreme ((x-1))/((x+1)^2) ?
The extreme ((x-1))/((x+1)^2) is Maximum(3, 1/8)